Search a number
-
+
115925472 = 25331310321
BaseRepresentation
bin1101110100011…
…10000111100000
322002010121212000
412322032013200
5214134103342
615300404000
72605231065
oct672160740
9262117760
10115925472
115a489583
12329a6600
131b02b470
1411578c6c
15a29d44c
hex6e8e1e0

115925472 has 96 divisors (see below), whose sum is σ = 364160160. Its totient is φ = 35665920.

The previous prime is 115925471. The next prime is 115925489. The reversal of 115925472 is 274529511.

115925472 is a `hidden beast` number, since 11 + 592 + 54 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115925471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6072 + ... + 16392.

It is an arithmetic number, because the mean of its divisors is an integer number (3793335).

Almost surely, 2115925472 is an apocalyptic number.

115925472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115925472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182080080).

115925472 is an abundant number, since it is smaller than the sum of its proper divisors (248234688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115925472 is a wasteful number, since it uses less digits than its factorization.

115925472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353 (or 10339 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 115925472 is about 10766.8691828219. The cubic root of 115925472 is about 487.5954274728.

The spelling of 115925472 in words is "one hundred fifteen million, nine hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 10321 11232 20642 30963 41284 61926 82568 92889 123852 134173 165136 185778 247704 268346 278667 330272 371556 402519 495408 536692 557334 743112 805038 990816 1073384 1114668 1207557 1486224 1610076 2146768 2229336 2415114 2972448 3220152 3622671 4293536 4458672 4830228 6440304 7245342 8917344 9660456 12880608 14490684 19320912 28981368 38641824 57962736 115925472